18 questions
8th - 8th Grade
Mathematics
This Grade 8 mathematics worksheet helps students write linear equations from graphs by identifying the slope and y-intercept, then expressing each relationship in the form y = mx + b. Across 18 questions, students complete 15 fill-in-the-blank items and 3 multiple-choice items that focus on extracting these features and combining them into an equation, including cases with negative, zero, or unstated constant terms. Use the worksheet for guided practice, independent work, or a quick check of students’ understanding of slope-intercept form. The sequence of identifying the y-intercept, finding the slope, and writing the equation gives teachers a focused way to see whether students can connect a graph to its algebraic representation. This is a free printable worksheet with a complete answer key.
Worksheet settings
Font size
WorksheetsAnswer Keyundefined
no y-intercept
x=3
This Grade 8 worksheet targets writing linear equations from graphs in slope-intercept form, y = mx + b. Its 18 questions ask students to identify the slope and y-intercept and then combine those values to write an equation, using 15 fill-in-the-blank items and 3 multiple-choice questions.
Model a consistent sequence with one graph: locate the y-intercept, determine the slope, and substitute both values into y = mx + b. Then have students complete the worksheet while explaining how values such as a negative slope or a zero intercept affect the equation. Use the fill-in-the-blank items to check each step before assigning the multiple-choice questions for a broader check.
Students may reverse the slope and y-intercept, such as treating the -3 in y = -3x + 1 as the intercept instead of the slope. Watch for sign errors with negative slopes, omission of the constant when the y-intercept is zero, and writing an equation that does not match the identified values. The worksheet also includes a zero-slope case, where the equation is a constant such as y = -2.
This slope-and-y-intercept worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key. Grade the fill-in-the-blank and multiple-choice responses directly, or scan students’ printable work with the Wayground for Teachers app to streamline grading.
In the worksheet’s Advanced Settings, adjust font spacing or choose a larger font size to make the slope, intercept, and equation prompts easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language while keeping its graph-to-equation practice format.
Wayground offers a comprehensive collection of free printable worksheets and practice problems across all subjects, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.
